| Base | Representation |
|---|---|
| bin | 10001001110011… |
| … | …00100011100000 |
| 3 | 101001212222211000 |
| 4 | 20213030203200 |
| 5 | 243442232033 |
| 6 | 22200552000 |
| 7 | 3403111500 |
| oct | 1047144340 |
| 9 | 331788730 |
| 10 | 144492768 |
| 11 | 74620612 |
| 12 | 40482600 |
| 13 | 23c212a4 |
| 14 | 15293a00 |
| 15 | ca42a13 |
| hex | 89cc8e0 |
144492768 has 144 divisors (see below), whose sum is σ = 490386960. Its totient is φ = 41271552.
The previous prime is 144492757. The next prime is 144492779. The reversal of 144492768 is 867294441.
144492768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (144492757) and next prime (144492779).
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40630 + ... + 44042.
It is an arithmetic number, because the mean of its divisors is an integer number (3405465).
Almost surely, 2144492768 is an apocalyptic number.
144492768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245193480).
144492768 is an abundant number, since it is smaller than the sum of its proper divisors (345894192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144492768 is a wasteful number, since it uses less digits than its factorization.
144492768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3446 (or 3425 counting only the distinct ones).
The product of its digits is 387072, while the sum is 45.
The square root of 144492768 is about 12020.5144648638. The cubic root of 144492768 is about 524.7454766254.
The spelling of 144492768 in words is "one hundred forty-four million, four hundred ninety-two thousand, seven hundred sixty-eight".
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